3005406045003 has 8 divisors (see below), whose sum is σ = 4145387648400. Its totient is φ = 1934514235808.

The previous prime is 3005406044987. The next prime is 3005406045017.

3005406045003 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3005406045003 - 2⁴ = 3005406044987 is a prime.

It is a super-2 number, since 2×3005406045003² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3005406045023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17272448448 + ... + 17272448621.

It is an arithmetic number, because the mean of its divisors is an integer number (518173456050).

Almost surely, 2^{3005406045003} is an apocalyptic number.

3005406045003 is a deficient number, since it is larger than the sum of its proper divisors (1139981603397).

3005406045003 is a wasteful number, since it uses less digits than its factorization.

3005406045003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34544897101.

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 3005406045003 in words is "three trillion, five billion, four hundred six million, forty-five thousand, three".